The phrase "a true proposition of" is correct and usable in written English.
It can be used in contexts discussing logic, philosophy, or mathematics where the truth value of a statement is being evaluated.
Example: "In formal logic, a true proposition of a system must adhere to the established axioms and rules."
Alternatives: "a valid statement of" or "an accurate assertion of".
The use of variable functors with liberal substitution enables a number of principles of propositional logic to be given startlingly compressed and elegant formulations, for example the principle of bivalence in the form which can be read as "if something is true of a false proposition then if it true of a true proposition, it is true of any proposition" (C00 is a true proposition).
On the view that to be a fact is to be a true proposition, the set of facts which exist in world w is the set of all propositions which exist and are true at w, i.e. Fw = Tw ∩ Pw, and the existence-set of a fact x is es(x) ∩ ts(x).
A true proposition is part of God's middle knowledge if and only if it is a contingent truth (like items of God's free knowledge) but beyond God's control (like items of God's natural knowledge).
According to Molina, a true proposition is part of God's free knowledge if and only if it is a contingent truth (an actual truth which could have been false under different circumstances) which is within God's control.
A true proposition is part of God's natural knowledge if and only if it is a necessary truth (a truth which could not be false under any circumstances whatever) which is beyond God's control (nobody, including God, could make them false).
The propositional negation of a true proposition is a false proposition.
First of all, in a setting where sentences are context dependent, the natural formulation of a truth claim is always in terms of expressing a true proposition, or some related semantically careful application of the truth predicate.
To illustrate this, let A be a true proposition with a number of worlds tightly clustered around the actual world a.
Hegel "unwittingly is proceeding in terms of the proposition" but is caught up with the illusory attempt to establish an overarching truth ("that whereby a true proposition can be true"), instead of the task of establishing true propositions (JAA, Lectures on William James, 1935).
\(C(p)\)'s Brier score is calculated by the formula: Thus a credence of 1 in a true proposition will get a Brier score of 0 the best score possible.
